A positive matrix is a real or integer matrix
for which each matrix element is a positive number,
i.e.,
for all ,
.
Positive matrices are therefore a subset of nonnegative
matrices.
Note that a positive matrix is not the same as a positive
definite matrix.
See also
Identity Matrix,
Integer Matrix,
Matrix,
Negative
Matrix,
Nonnegative Matrix,
Nonpositive
Matrix,
Positive,
Positive
Eigenvalued Matrix,
Positive Definite
Matrix,
Positive Semidefinite Matrix,
Real Matrix,
Unit Matrix,
Zero Matrix
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Cite this as:
Weisstein, Eric W. "Positive Matrix."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PositiveMatrix.html
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